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Finding the Third Proportional to 925,263 and 2,141,829

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Solution

The third proportional to 925,263 and 2,141,829 is: 4,957,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,263 : 2,141,829 = 2,141,829 : x
  2. Step 2: Convert to fraction form
    925,263/2,141,829 = 2,141,829/x
  3. Step 3: Cross multiply
    925,263x = 2,141,829 × 2,141,829
  4. Step 4: Simplify right side
    925,263x = 4,587,431,465,241
  5. Step 5: Solve for x
    x = 4,587,431,465,241/925,263
  6. Step 6: Final answer
    x = 4,957,975.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.